TSTP Solution File: SWW354+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW354+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:32:10 EDT 2024

% Result   : ContradictoryAxioms 7.25s 1.73s
% Output   : Refutation 7.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   66 (  28   ~;  19   |;   8   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   74 (  65   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32255,plain,
    $false,
    inference(resolution,[],[f32173,f16655]) ).

fof(f16655,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(cnf_transformation,[],[f5170]) ).

fof(f5170,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f32173,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f32145,f18221]) ).

fof(f18221,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10848]) ).

fof(f10848,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6452]) ).

fof(f6452,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X12,X4] :
      ( class_Finite__Set_Ofinite(X4)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X12)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f32145,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f31790,f21590]) ).

fof(f21590,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(cnf_transformation,[],[f13080]) ).

fof(f13080,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(ennf_transformation,[],[f8845]) ).

fof(f8845,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2))) ),
    inference(rectify,[],[f81]) ).

fof(f81,axiom,
    ! [X77,X10,X66,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X66))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X10),hAPP(c_Set_Oimage(X4,X10,X77),X66))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31790,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X0,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(resolution,[],[f20970,f29667]) ).

fof(f29667,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK17(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f16898,f17238]) ).

fof(f17238,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK17(X0)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(cnf_transformation,[],[f14388]) ).

fof(f14388,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),sK16(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK16(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK17(X0)))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f14385,f14387,f14386]) ).

fof(f14386,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
          & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) )
     => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),sK16(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK16(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14387,plain,
    ! [X0] :
      ( ? [X3] :
        ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
     => ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK17(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14385,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) )
      & ( ? [X3] :
          ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(rectify,[],[f14384]) ).

fof(f14384,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) )
      & ( ? [X1] :
          ! [X2] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(nnf_transformation,[],[f10474]) ).

fof(f10474,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) ),
    inference(ennf_transformation,[],[f5647]) ).

fof(f5647,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1)) ) ),
    inference(rectify,[],[f1498]) ).

fof(f1498,axiom,
    ! [X97] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X97))
    <=> ? [X143] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X97))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X143)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f16898,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5338]) ).

fof(f5338,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f742]) ).

fof(f742,axiom,
    ! [X80] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X80)),X80)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f20970,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(hAPP(c_member(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X0,X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(cnf_transformation,[],[f8283]) ).

fof(f8283,plain,
    ! [X0,X1,X2,X3] : hBOOL(hAPP(hAPP(c_member(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X0,X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(rectify,[],[f1971]) ).

fof(f1971,axiom,
    ! [X10,X9,X1,X4] : hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X9)),hAPP(c_Set_Oimage(X10,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW354+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 07:25:24 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.37  Running first-order theorem proving
% 0.12/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7028)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7030)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7027)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7029)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7025)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7026)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.51/0.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (7024)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.85  % (7030)Instruction limit reached!
% 0.51/0.85  % (7030)------------------------------
% 0.51/0.85  % (7030)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.85  % (7030)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.85  % (7030)Termination reason: Time limit
% 0.51/0.85  % (7030)Termination phase: Saturation
% 0.51/0.85  
% 0.51/0.85  % (7030)Memory used [KB]: 8989
% 0.51/0.85  % (7030)Time elapsed: 0.122 s
% 0.51/0.85  % (7030)Instructions burned: 284 (million)
% 0.51/0.85  % (7028)Instruction limit reached!
% 0.51/0.85  % (7028)------------------------------
% 0.51/0.85  % (7028)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.85  % (7028)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.85  % (7028)Termination reason: Time limit
% 0.51/0.85  % (7028)Termination phase: Saturation
% 0.51/0.85  
% 0.51/0.85  % (7028)Memory used [KB]: 8282
% 0.51/0.85  % (7028)Time elapsed: 0.126 s
% 0.51/0.85  % (7028)Instructions burned: 250 (million)
% 0.87/0.88  % (7029)Instruction limit reached!
% 0.87/0.88  % (7029)------------------------------
% 0.87/0.88  % (7029)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.87/0.88  % (7029)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.87/0.88  % (7029)Termination reason: Time limit
% 0.87/0.88  % (7029)Termination phase: Saturation
% 0.87/0.88  
% 0.87/0.88  % (7029)Memory used [KB]: 7358
% 0.87/0.88  % (7029)Time elapsed: 0.151 s
% 0.87/0.88  % (7029)Instructions burned: 346 (million)
% 0.87/0.88  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.87/0.88  % (7065)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 0.87/0.89  % (6890)Running in auto input_syntax mode. Trying TPTP
% 0.87/0.89  % (7066)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.08/0.91  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.91  % (7078)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 1.08/0.93  % (7065)Instruction limit reached!
% 1.08/0.93  % (7065)------------------------------
% 1.08/0.93  % (7065)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.08/0.93  % (7065)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.08/0.93  % (7065)Termination reason: Time limit
% 1.08/0.93  % (7065)Termination phase: Preprocessing 3
% 1.08/0.93  
% 1.08/0.93  % (7065)Memory used [KB]: 9119
% 1.08/0.93  % (7065)Time elapsed: 0.047 s
% 1.08/0.93  % (7065)Instructions burned: 127 (million)
% 1.15/0.97  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.15/0.97  % (7104)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.16/1.00  % (7066)Instruction limit reached!
% 1.16/1.00  % (7066)------------------------------
% 1.16/1.00  % (7066)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.16/1.00  % (7066)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.16/1.00  % (7066)Termination reason: Time limit
% 1.16/1.00  % (7066)Termination phase: Function definition elimination
% 1.16/1.00  
% 1.16/1.00  % (7066)Memory used [KB]: 14760
% 1.16/1.00  % (7066)Time elapsed: 0.115 s
% 1.16/1.00  % (7066)Instructions burned: 403 (million)
% 1.16/1.02  % (7078)Instruction limit reached!
% 1.16/1.02  % (7078)------------------------------
% 1.16/1.02  % (7078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.16/1.02  % (7078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.16/1.02  % (7078)Termination reason: Time limit
% 1.16/1.02  % (7078)Termination phase: Saturation
% 1.16/1.02  
% 1.16/1.02  % (7078)Memory used [KB]: 8018
% 1.16/1.02  % (7078)Time elapsed: 0.108 s
% 1.16/1.02  % (7078)Instructions burned: 326 (million)
% 1.16/1.04  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.16/1.04  % (7108)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 1.16/1.06  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.16/1.06  % (7109)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 1.16/1.06  % (7104)Instruction limit reached!
% 1.16/1.06  % (7104)------------------------------
% 1.16/1.06  % (7104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.16/1.06  % (7104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.16/1.06  % (7104)Termination reason: Time limit
% 1.16/1.06  % (7104)Termination phase: Saturation
% 1.16/1.06  
% 1.16/1.06  % (7104)Memory used [KB]: 7899
% 1.16/1.06  % (7104)Time elapsed: 0.094 s
% 1.16/1.06  % (7104)Instructions burned: 270 (million)
% 1.59/1.09  % (7108)Instruction limit reached!
% 1.59/1.09  % (7108)------------------------------
% 1.59/1.09  % (7108)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/1.09  % (7108)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/1.09  % (7108)Termination reason: Time limit
% 1.59/1.09  % (7108)Termination phase: Saturation
% 1.59/1.09  
% 1.59/1.09  % (7108)Memory used [KB]: 7609
% 1.59/1.09  % (7108)Time elapsed: 0.051 s
% 1.59/1.09  % (7108)Instructions burned: 156 (million)
% 1.59/1.09  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.59/1.09  % (7110)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2995ds/203Mi)
% 1.59/1.12  % (7109)Instruction limit reached!
% 1.59/1.12  % (7109)------------------------------
% 1.59/1.12  % (7109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/1.12  % (7109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/1.12  % (7109)Termination reason: Time limit
% 1.59/1.12  % (7109)Termination phase: Saturation
% 1.59/1.12  
% 1.59/1.12  % (7109)Memory used [KB]: 7975
% 1.59/1.12  % (7109)Time elapsed: 0.062 s
% 1.59/1.12  % (7109)Instructions burned: 200 (million)
% 1.59/1.12  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.59/1.12  % (7111)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 1.59/1.15  % (6890)Running in auto input_syntax mode. Trying TPTP
% 1.59/1.15  % (7112)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2995ds/316Mi)
% 3.93/1.17  % (7110)Instruction limit reached!
% 3.93/1.17  % (7110)------------------------------
% 3.93/1.17  % (7110)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.93/1.17  % (7110)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.93/1.17  % (7110)Termination reason: Time limit
% 3.93/1.17  % (7110)Termination phase: Saturation
% 3.93/1.17  
% 3.93/1.17  % (7110)Memory used [KB]: 7393
% 3.93/1.17  % (7110)Time elapsed: 0.077 s
% 3.93/1.17  % (7110)Instructions burned: 205 (million)
% 3.93/1.20  % (6890)Running in auto input_syntax mode. Trying TPTP
% 3.93/1.20  % (7113)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2994ds/426Mi)
% 4.39/1.24  % (7112)Instruction limit reached!
% 4.39/1.24  % (7112)------------------------------
% 4.39/1.24  % (7112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.39/1.24  % (7112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.39/1.24  % (7112)Termination reason: Time limit
% 4.39/1.24  % (7112)Termination phase: Saturation
% 4.39/1.24  
% 4.39/1.24  % (7112)Memory used [KB]: 10294
% 4.39/1.24  % (7112)Time elapsed: 0.092 s
% 4.39/1.24  % (7112)Instructions burned: 318 (million)
% 4.39/1.28  % (6890)Running in auto input_syntax mode. Trying TPTP
% 4.39/1.28  % (7114)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/260Mi)
% 4.39/1.32  % (7113)Instruction limit reached!
% 4.39/1.32  % (7113)------------------------------
% 4.39/1.32  % (7113)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.39/1.32  % (7113)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.39/1.32  % (7113)Termination reason: Time limit
% 4.39/1.32  % (7113)Termination phase: Function definition elimination
% 4.39/1.32  
% 4.39/1.32  % (7113)Memory used [KB]: 14667
% 4.39/1.32  % (7113)Time elapsed: 0.116 s
% 4.39/1.32  % (7113)Instructions burned: 427 (million)
% 5.00/1.35  % (6890)Running in auto input_syntax mode. Trying TPTP
% 5.00/1.35  % (7115)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2993ds/160Mi)
% 5.00/1.36  % (7114)Instruction limit reached!
% 5.00/1.36  % (7114)------------------------------
% 5.00/1.36  % (7114)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.00/1.36  % (7114)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.00/1.36  % (7114)Termination reason: Time limit
% 5.00/1.36  % (7114)Termination phase: Function definition elimination
% 5.00/1.36  
% 5.00/1.36  % (7114)Memory used [KB]: 9644
% 5.00/1.36  % (7114)Time elapsed: 0.082 s
% 5.00/1.36  % (7114)Instructions burned: 264 (million)
% 5.39/1.39  % (6890)Running in auto input_syntax mode. Trying TPTP
% 5.39/1.39  % (7116)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2992ds/462Mi)
% 5.39/1.39  % (7111)Instruction limit reached!
% 5.39/1.39  % (7111)------------------------------
% 5.39/1.39  % (7111)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.39/1.39  % (7111)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.39/1.39  % (7111)Termination reason: Time limit
% 5.39/1.39  % (7111)Termination phase: Saturation
% 5.39/1.39  
% 5.39/1.39  % (7111)Memory used [KB]: 22287
% 5.39/1.39  % (7111)Time elapsed: 0.273 s
% 5.39/1.39  % (7111)Instructions burned: 1027 (million)
% 5.39/1.40  % (7115)Instruction limit reached!
% 5.39/1.40  % (7115)------------------------------
% 5.39/1.40  % (7115)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.39/1.40  % (7115)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.39/1.40  % (7115)Termination reason: Time limit
% 5.39/1.40  % (7115)Termination phase: Function definition elimination
% 5.39/1.40  
% 5.39/1.40  % (7115)Memory used [KB]: 8269
% 5.39/1.40  % (7115)Time elapsed: 0.049 s
% 5.39/1.40  % (7115)Instructions burned: 160 (million)
% 5.39/1.43  % (6890)Running in auto input_syntax mode. Trying TPTP
% 5.39/1.43  % (7117)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2992ds/2185Mi)
% 5.39/1.43  % (6890)Running in auto input_syntax mode. Trying TPTP
% 5.39/1.43  % (7118)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2992ds/308Mi)
% 5.96/1.52  % (7118)Instruction limit reached!
% 5.96/1.52  % (7118)------------------------------
% 5.96/1.52  % (7118)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.96/1.52  % (7118)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.96/1.52  % (7118)Termination reason: Time limit
% 5.96/1.52  % (7118)Termination phase: Property scanning
% 5.96/1.52  
% 5.96/1.52  % (7118)Memory used [KB]: 14327
% 5.96/1.52  % (7118)Time elapsed: 0.089 s
% 5.96/1.52  % (7118)Instructions burned: 313 (million)
% 5.96/1.52  % (7116)Instruction limit reached!
% 5.96/1.52  % (7116)------------------------------
% 5.96/1.52  % (7116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.96/1.52  % (7116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.96/1.52  % (7116)Termination reason: Time limit
% 5.96/1.52  % (7116)Termination phase: Saturation
% 5.96/1.52  
% 5.96/1.52  % (7116)Memory used [KB]: 9915
% 5.96/1.52  % (7116)Time elapsed: 0.132 s
% 5.96/1.52  % (7116)Instructions burned: 463 (million)
% 6.39/1.55  % (6890)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.55  % (7120)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2991ds/349Mi)
% 6.39/1.55  % (6890)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.55  % (7119)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2991ds/336Mi)
% 6.78/1.65  % (7119)Instruction limit reached!
% 6.78/1.65  % (7119)------------------------------
% 6.78/1.65  % (7119)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.78/1.65  % (7119)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.78/1.65  % (7119)Termination reason: Time limit
% 6.78/1.65  % (7119)Termination phase: Property scanning
% 6.78/1.65  
% 6.78/1.65  % (7119)Memory used [KB]: 13636
% 6.78/1.65  % (7119)Time elapsed: 0.097 s
% 6.78/1.65  % (7119)Instructions burned: 337 (million)
% 6.78/1.65  % (7120)Instruction limit reached!
% 6.78/1.65  % (7120)------------------------------
% 6.78/1.65  % (7120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.78/1.65  % (7120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.78/1.65  % (7120)Termination reason: Time limit
% 6.78/1.65  % (7120)Termination phase: Saturation
% 6.78/1.65  
% 6.78/1.65  % (7120)Memory used [KB]: 7070
% 6.78/1.65  % (7120)Time elapsed: 0.101 s
% 6.78/1.65  % (7120)Instructions burned: 352 (million)
% 6.78/1.68  % (6890)Running in auto input_syntax mode. Trying TPTP
% 6.78/1.68  % (7121)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2990ds/193Mi)
% 6.78/1.69  % (6890)Running in auto input_syntax mode. Trying TPTP
% 6.78/1.69  % (7122)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2989ds/632Mi)
% 7.25/1.72  % (7117)First to succeed.
% 7.25/1.73  % (7117)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6890"
% 7.25/1.73  % (6890)Running in auto input_syntax mode. Trying TPTP
% 7.25/1.73  % (7117)Refutation found. Thanks to Tanya!
% 7.25/1.73  % SZS status ContradictoryAxioms for theBenchmark
% 7.25/1.73  % SZS output start Proof for theBenchmark
% See solution above
% 7.25/1.73  % (7117)------------------------------
% 7.25/1.73  % (7117)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.25/1.73  % (7117)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.25/1.73  % (7117)Termination reason: Refutation
% 7.25/1.73  
% 7.25/1.73  % (7117)Memory used [KB]: 18303
% 7.25/1.73  % (7117)Time elapsed: 0.300 s
% 7.25/1.73  % (7117)Instructions burned: 1129 (million)
% 7.25/1.73  % (7117)------------------------------
% 7.25/1.73  % (7117)------------------------------
% 7.25/1.73  % (6890)Success in time 1.075 s
%------------------------------------------------------------------------------